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What is the Least Common Multiple of 64228 and 64237?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 64228 and 64237 is 4125814036.

LCM(64228,64237) = 4125814036

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Least Common Multiple of 64228 and 64237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64228 and 64237, than apply into the LCM equation.

GCF(64228,64237) = 1
LCM(64228,64237) = ( 64228 × 64237) / 1
LCM(64228,64237) = 4125814036 / 1
LCM(64228,64237) = 4125814036

Least Common Multiple (LCM) of 64228 and 64237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64228 and 64237. First we will calculate the prime factors of 64228 and 64237.

Prime Factorization of 64228

Prime factors of 64228 are 2, 16057. Prime factorization of 64228 in exponential form is:

64228 = 22 × 160571

Prime Factorization of 64237

Prime factors of 64237 are 64237. Prime factorization of 64237 in exponential form is:

64237 = 642371

Now multiplying the highest exponent prime factors to calculate the LCM of 64228 and 64237.

LCM(64228,64237) = 22 × 160571 × 642371
LCM(64228,64237) = 4125814036